Question 4.4. Which is true about a rotation? (Points : 1)
The image and preimage are congruent.
The image overlaps the preimage.
The image is larger than the preimage.
The image is smaller than the preimage.
Question 5.5. Trapezoid PQRS was rotated 60° around a point. Which point could have been the center of this rotation?
(Points : 1)
point A
point B
point C
point D
4.4 the shape and size are not changed by turning it, so congruent.
5.5 - no idea without seeing it.
ok thank you! and its fine, i got the answer! :)
ok, you are welcome.
To answer these questions, we need to understand the properties and characteristics of rotations.
A rotation is a transformation that rotates a figure around a fixed point called the center of rotation. The center of rotation remains fixed while every point on the figure moves along a circular path. Here are the properties of a rotation:
1. The image and preimage are congruent: This means that after a rotation, the resulting figure (image) is the same size and shape as the original figure (preimage). Therefore, the statement "The image and preimage are congruent" is true about a rotation.
2. The image overlaps the preimage: In a rotation, the image does not overlap the preimage. Instead, the image is a different position and orientation than the preimage. Therefore, the statement "The image overlaps the preimage" is false about a rotation.
3. The image is larger than the preimage: In a rotation, the size of the figure remains the same. Therefore, the statement "The image is larger than the preimage" is false about a rotation.
4. The image is smaller than the preimage: In a rotation, the size of the figure remains the same. Therefore, the statement "The image is smaller than the preimage" is false about a rotation.
Now, let's move on to the next question. To determine the possible center of rotation for the trapezoid PQRS, we need to locate the common points of the preimage and its image after a 60° rotation.
Since the shape of a trapezoid changes after a rotation, the center of rotation should be somewhere inside the trapezoid. Among the given points (A, B, C, D), we need to identify the one located inside the trapezoid PQRS.
Without any further context or visual representation, it is not possible to determine the exact points A, B, C, or D. Therefore, we cannot answer this question definitively without additional information.
To answer this question accurately, one would need to provide a diagram or description of the trapezoid PQRS and its image after a 60° rotation.